Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The area of a square is 64 square inches. What do you know about the
square?
a. | Both its side length and its perimeter are irrational. | b. | Its side length is
irrational and its perimeter is rational. | c. | Its side length is rational and its perimeter
is irrational. | d. | Both its side length and its perimeter are rational. |
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2.
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Write  in simplest form.
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3.
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Write  as an entire radical.
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4.
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Write  in simplest form.
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5.
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Write  as an entire radical.
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6.
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Order these numbers from greatest to least:  ,  ,  ,
 ,  a. |  ,  ,  ,  ,  | c. |  ,  ,  ,  ,  | b. |  ,  ,  ,  ,  | d. |  ,
 ,  ,  ,  |
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7.
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Evaluate  without using a calculator. a. | 8 | b. | 4 | c. | –4 | d. |  |
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8.
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Evaluate  without using a calculator.
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9.
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Biologists use the formula  to estimate the brain mass, b
kilograms, of a mammal with body mass m kilograms. Estimate the brain mass of a mammal with
body mass 276 kg. a. | About 4.24 kg | c. | About 9.13 kg | b. | About 0.42 kg | d. | About 253.92 kg |
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10.
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Write  as a radical.
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11.
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Evaluate  a. | 18 | c. | 1.741 101... | b. | 32 | d. | 40 |
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12.
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Arrange these numbers in order from greatest to least.  ,  ,
 ,  ,  a. |  , ,  ,  ,  | c. |  ,  ,  , ,  | b. |  ,  ,  ,  ,  | d. |  ,
 ,  , ,  |
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13.
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Evaluate  without using a calculator.
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14.
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Evaluate  without using a calculator.
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15.
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Evaluate  without using a calculator.
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16.
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Which power with a negative exponent is equivalent to  ?
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17.
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Which power with a negative exponent is equivalent to  ?
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18.
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A sphere has volume 350 cubic inches. Determine the radius of the sphere to the
nearest inch.
a. | 7 in. | b. | 4 in. | c. | 5 in. | d. | 825
in. |
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19.
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Evaluate 
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20.
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Short Answer
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21.
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Write  as an entire radical.
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22.
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Write  in simplest form.
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23.
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Arrange these numbers in order from least to greatest.  ,  ,
 ,  , 
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24.
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Evaluate  without using a calculator.
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25.
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The intensity of light at its source is 100%. The intensity, I, at a
distance d centimetres from the source is given by the formula  . Use the formula to
determine the intensity of the light 50 cm from the source.
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Problem
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26.
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A square has an area of 1134 m  . Determine the perimeter of the square.
Write the answer as a radical in simplest form.
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27.
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Another formula for the approximate surface area, SA square metres, of a
person’s body is  , where h is the person’s height in
centimetres, and m is the person’s mass in kilograms. a) Calculate the surface area of a newborn
with height  cm and mass 7.3 kg. Write the answer as a decimal to
the nearest hundredth of a square centimetre. b)
Calculate the surface area of a person with height 170 cm and mass 66
kg. Write the answer as a decimal to
the nearest hundredth of a square centimetre.
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28.
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At a distance of 1 m from a light source, the intensity of the light is 2
mW/m2 (milliwatts per square metre). The intensity, I, at a distance d
metres from the source is given by the formula: I = 2d–2
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Determine the intensity of the light 2.5 m from the source.
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29.
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A colony of bacteria start with 100 bacteria. The population of the colony
doubles each every 20 min. This equation represents the population, N bacteria, after t
hours:  How would the population after  min compare with the population after 105
min? Write your answer as a percent.
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30.
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A cone with equal height and radius has volume 492 cm3. What is the
height of the cone to the nearest tenth of a centimetre?
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